Some remarks on multidimensional systems of conservation laws

Bressan, Alberto

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 15 (2004), p. 225-233 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

This note is concerned with the Cauchy problem for hyperbolic systems of conservation laws in several space dimensions. We first discuss an example of ill-posedness, for a special system having a radial symmetry property. Some conjectures are formulated, on the compactness of the set of flow maps generated by vector fields with bounded variation.

Détail

Publié le : 2004-12-01

MR 2148881 | Zbl 1162.35412

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